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1 . 在直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqId9524e69d0a2d4ad385096e79493ee5f3(eqId69f56ef2c88b4b73a560da59f5247a82为参数).以eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴正半轴为极轴建立极坐标系,曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程为eqId6eb90e6dd0ff4effa0bfa2a98eba9b9c.
(1)求曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的极坐标方程;
(2)若曲线eqIdcfc8599bedfb4ab4944abf141f348a9a上有且仅有两个点到曲线eqId3a63d00111554b9e8b896929779a293d的距离为eqId37705e1ef6a84bbdbe88433e75932cdf,求eqIdaea992e70d4943e49e893817eb885ed7的取值范围.
2 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知直线l的参数方程为eqIda953fce1a36f4803993ffb2c81f2e08bt为参数),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系.圆C的圆心为eqId510e7ec518ff4e57886e36249011c3a3,且过点eqId3f647449244348908995e9522ba56c09
(1)求直线l和圆C的极坐标方程;
(2)eqId9e99d9b6786f4ee3876e6d3bbe40e9e4的射线eqIda20558bac276438caa0c85b6224a1e5c与圆C相交于异于极点的点A,与直线l相交于点B,若eqId2df83b3514e04b28ba6e5057bece4ebf,求α
3 . 在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的参数方程为eqIdcaf8cf6851b04dbbae33bc93027a0f2eeqIdc13953f2514e4c8f9c8aaaf5241c33ac为参数且eqIde8263436cfdf4c6b84fb160604c0f268),以坐标原点eqId2efda802d5534f6d92d9f8af7aaec28b为极点,eqIda9cd3f94eb8045438f75e9daccfa7200轴的正半轴为极轴建立极坐标系,曲线eqId3a63d00111554b9e8b896929779a293d的极坐标方程为eqId2efe850d2fab419e8897701227743021
(1)说明eqIdcfc8599bedfb4ab4944abf141f348a9a是哪种曲线,并将eqIdcfc8599bedfb4ab4944abf141f348a9a的方程化为极坐标方程;
(2)设点eqId052844cae8574a8ab842c38a039baac0的极坐标为eqId83ee1bdf01354ca4b0d9c1eaf09447a5,射线eqId542af876313745359038036fdd480f01eqIdcfc8599bedfb4ab4944abf141f348a9a的交点为eqId2381423d4cd146cab95f55527681a766(异于极点),与eqId3a63d00111554b9e8b896929779a293d的交点为eqId517584fed25c413ba8b7bb33ffa2d5c6(异于极点),若eqId2a6a75aa47dd485bb83d0efe2c9419d9,求eqId3405c14024ad4c0cbe6501af458a45fb的值.
解答题 | 较易(0.85) | 2020·全国高三专题练习(文)
解题方法
5 . 如图,以过原点的直线的倾斜角eqId6c9518e43fd5459798a30cfc10026e3c为参数,求圆eqId7c3d5d645f0d4d8c9a22aa019db616cf的参数方程.
说明: figure
更新:2021/01/10组卷:119
6 . 在平面直角坐标系eqId94e28bb883384a7580bda6b481c94427中,已知直线eqId417e80f1349244878d01fe90e0891f5f的参数方程为eqId7338792b9a83465e9ad3fe5259d08527t为参数),圆C的普通方程为eqId83e3d5521a524ce0a8378a62113ddf81,以坐标原点为极点,x轴的非负半轴为极轴建立极坐标系.
(1)求直线eqId417e80f1349244878d01fe90e0891f5f与曲线C的极坐标方程;
(2)设射线meqId11590bcf40724dff9d85b8ffcffe79ea与直线eqId417e80f1349244878d01fe90e0891f5f和圆C的公共点分别为AB,若eqIdefb9dfd2461e449e97c87eadf8fecd88,且eqId40aec29e7d714f8cbdc22ec9aa6bfd4a,求eqIdc13953f2514e4c8f9c8aaaf5241c33ac的值.
解答题 | 一般(0.65) | 2021·福建高三其他模拟
8 . 已知直线与抛物线交于两点.
(1)求证:若直线eqId417e80f1349244878d01fe90e0891f5f过抛物线的焦点,则eqId29436c1633644261bd185e6afb1952f7
(2)写出(1)的逆命题,判断真假,并证明你的判断.
9 . 圆的参数方程为eqId6f904c6909e34df4a9b4322e96f838b8(eqId50619b805a9743fe980db51e08985a46为参数).则圆的圆心坐标为(   )
A.(2,2)B.(0,-2)C.(-2,0)D.(2,0)
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